Question

Which values of P and Q result in an equation with no solutions? 83x+P=83x+Q83x+P=83x+Q

Answer 1

83x+p=83x+q Geometric figure: Straight Line Slope = 1 x-intercept = 0/1 = 0.00000 p-intercept = 0/-1 = -0.00000Rearrange:Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

83*x+p-(83*x+q)=0 Step by step solution :Step 1 :Equation of a Straight Line 1.1 Solve p-q = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line p-q = 0 and calculate its propertiesGraph of a Straight Line : Calculate the Y-Intercept :Notice that when x = 0 the value of p is 0/-1 so this line "cuts" the p axis at p=-0.00000 p-intercept = 0/-1 = -0.00000 Calculate the X-Intercept :When p = 0 the value of x is 0/1 Our line therefore "cuts" the x axis at x= 0.00000 x-intercept = 0/1 = 0.00000 Calculate the Slope :Slope is defined as the change in p divided by the change in x. We note that for x=0, the value of p is 0.000 and for x=2.000, the value of p is 2.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 2.000 - 0.000 = 2.000 in p. (The change in p is sometimes referred to as "RISE" and the Slope is m = RISE / RUN) Slope = 1 Geometric figure: Straight Line Slope = 1 x-intercept = 0/1 = 0.00000 p-intercept = 0/-1 = -0.00000

Answer 2

Given equation : 83x+P=83x+Q.

We need to determine, for what value of P and Q result in equation with no solutions.

We can see that 83x equals 83x.

So, if P would be equal to Q, it would make infinitely many solutions.

But we need to get the values of P and Q that would make no solutions.

So, for all values of P ≠ Q the equation would have no solutions.